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Finding the Fourth Proportional to 313,947.48, 470,289.96 and 145,230.96

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Solution

The fourth proportional to 313,947.48, 470,289.96 and 145,230.96 is: 217,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,947.48 : 470,289.96 = 145,230.96 : x
  2. Step 2: Convert to fraction form
    313,947.48/470,289.96 = 145,230.96/x
  3. Step 3: Cross multiply
    313,947.48x = 470,289.96 × 145,230.96
  4. Step 4: Simplify right side
    313,947.48x = 68,300,662,369.16
  5. Step 5: Solve for x
    x = 68,300,662,369.16/313,947.48
  6. Step 6: Final answer
    x = 217,554.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.